MBA Exam

Three consecutive positive integers are raised to the first, second and third powers respectively and added. The sum so obtained is a perfect square whose square root is the sum of the three numbers. Which of the following best describes the minimum value, say m, of these three integers?

1) 1<=m<=3
2) 4<=m<=6
3) 7<=m<=9
4) 10<=m<=12

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MBA Other Question

K(N) denotes no. of ways in which N can be expressed as a difference of two perfect squares. Which of the following is maximum?Please explain thoroughly..

1) k(110)
2) k(105)
3) k(216)
4) k(384)
How many distinct triangles have all three sides in integer units, none of which is a part of a pythagorean triplet?

1) 0
2) 1
3) 3
4) 4
5) Infiinitely many